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Finding the Third Proportional to 102,088,000 and 156,916,624

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Solution

The third proportional to 102,088,000 and 156,916,624 is: 241,192,176.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,088,000 : 156,916,624 = 156,916,624 : x
  2. Step 2: Convert to fraction form
    102,088,000/156,916,624 = 156,916,624/x
  3. Step 3: Cross multiply
    102,088,000x = 156,916,624 × 156,916,624
  4. Step 4: Simplify right side
    102,088,000x = 24,622,826,887,557,376
  5. Step 5: Solve for x
    x = 24,622,826,887,557,376/102,088,000
  6. Step 6: Final answer
    x = 241,192,176.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.